Results 91 to 100 of about 587,634 (306)

Comparison Principles for the p-Laplacian Operator

Journal of Mathematical Sciences, 2014
In this paper the author proves new comparison principles for the \(p\)-Laplace operator, both in bounded and in unbounded domains. In bounded domains he applies an approach already developed in the literature for the case where \(1 < p\leq 2\), and extends it to the case \(p > 2\), using measure theory.
openaire   +3 more sources

Liquid biopsy‐based diagnostic evaluation of hypermethylated CpG sites for ovarian cancer diagnosis

Molecular Oncology, EarlyView.
This schematic outlines the workflow from biomarker identification to duplex MethyLight assay validation for epithelial ovarian cancer diagnosis using cfDNA‐based liquid biopsy. Initial screening of hypermethylated CpG candidates (cg02957270, cg10061138 cg00480298, COL2A1) was performed in tissue using ARMS‐PCR, COBRA, qPCR and image analysis. Selected
Deepa Bisht, Sameer Gupta, Amrita Chaurasia, Manisha Sachan   +3 more
wiley   +1 more source

On the Keldys-Fichera boundary-value problem for degenerate quasilinear elliptic equations

Electronic Journal of Differential Equations, 2002
We prove existence and uniqueness theorems for the Keldys-Fichera boundary-value problem using pseudo-monotone operators. The equation studied here is quasilinear, elliptic, and its set of degenerate points may be of non-zero measure.
Zu-Chi Chen, Benjin Xuan
doaj  

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
wiley   +1 more source

Weak Comparison Principle for Weighted Fractional p-Laplacian Equation

, 2020
The aim of this paper is to establish a weak comparison principle for a class fractional p-Laplacian equation with weight. The nonlinear term fx,s>0 is a Carathéodory function which is possibly unbounded both at the origin and at infinity and such that ...
Jin Xie
core   +1 more source

Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae

FEBS Open Bio, EarlyView.
Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj, Eline M. F. de Lange, Klaas A. Sjollema, Ben N. G. Giepmans   +3 more
wiley   +1 more source

Mycobacterial cell division arrest and smooth‐to‐rough envelope transition using CRISPRi‐mediated genetic repression systems

FEBS Open Bio, EarlyView.
CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point, Wafaa Achache, Janïs Laudouze, Eliana Sepulveda Ramos, Mickaël Maziero, Céline Crauste, Stéphane Canaan, Pierre Santucci   +7 more
wiley   +1 more source

Existence and regularity of weak solutions for singular elliptic problems

Electronic Journal of Differential Equations, 2015
In this article we study the semilinear singular elliptic problem $$\displaylines{ -\Delta u = \frac{p(x)}{u^{\alpha}}\quad \text{in } \Omega \cr u = 0\quad \text{on } \partial\Omega,\quad u>0 \text{ in } \Omega, }$$ where $\Omega$ is a regular ...
Brahim Bougherara, Jacques Giacomoni, Jesus Hernandez   +2 more
doaj  

Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control

FEBS Open Bio, EarlyView.
Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada, Mina Iwaki, Kyosuke Hagiri, Rei Izumi, Masahiko Harata, Chihiro Horigome   +5 more
wiley   +1 more source

Kemeny's rule and Slater''s rule: A binary comparison [PDF]

The purpose of this paper is to provide a binary comparison of two distance-based preference aggregation rules, Slater's rule and Kemeny''s rule. It will be shown that for certain lists of individual preferences the outcomes will be antagonistic in the ...
Christian Klamler
core